Generalized implicit function theorems with applications to some small divisor problems. I. (English) Zbl 0309.58006

Zehnder, E.

Commun. Pure Appl. Math. 28, 91-140 (1975).

MSC:

58C15	Implicit function theorems; global Newton methods on manifolds
53B20	Local Riemannian geometry
37J99	Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems
37C75	Stability theory for smooth dynamical systems
70F15	Celestial mechanics
70H20	Hamilton-Jacobi equations in mechanics

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